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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 117r, page id 00068200:0235
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Xy. Xb dp
Xy. yC dp
G. 39 Xyh +G. XpL. yh + X. Xp X yh LX. yqX.yh Xg. dp
Xy. Xedq
Xy. yf de
Xy Nyh dp xy. X. 79 dq
xb din Xe (dEn)
yc den yf (dEn)
Xyh den X.yg (d 2n)
16)
Unde  erit Xb dl + X. xpXe aequ X, et yfdm + y. ygyc aequ. ym
reliqui vero termini aequationis 14 omnes simul sunt aequ. X. yn
Sed ut tanti momenti inquisitionem melius absolvamius; : Sit aequatio data
sae dx ago X20 + y30 y L xy X2I + Xy y3I + Ky X22+ X y y32 + Xy x23+ Xy y33 etc.
u X40 + y50
+xy X4I +Xyy5I +x  X42+ Xy y52 +x 3X43+ x yB Sc
a. oaequ X80+y90 + XyX BI + xy y 91 + Xy X82 + X ) y92 F X y X83 a X i3 etC.
Al sumatur aequatio: (2)
Superest aliquid annotantum X. yn poni potest aequ. Xy X p + xy Y 9+  XG2n Cujus differentalisent, D egu a sospitdus hyt ry B1 Exry  gi ex) dscx A rus dgudus ex Bstx tudidus
Ergo d X. yn seu dn d x + (da)dus erit aequ. y xp dx F X xpdy + y y gdx + Xypot, tyXy dindr  +x. y
et fier ax 64)
dy
txBIXdy +yGIXdy AExBEXydy 12y9 Xydy 1 3YB3Xy 379XydB
txBIydx tyg1yax +EXBExy dX FryG2XG dXBXBIXG axtSy9 Xy 
d9o + X N8IY Xydg1 + XY. XOL +Xy dos + 3Xy. X93 + X’y d93 &
+X. y91 +
+3X7 y93
+3XyX83
Aequandae jam sunt inter se nalores ex aequ. 1. iafie:
+Xx 4X81 X)
quod et fiat melius considerandum est quamlibet formulam ex una sola latera
 a +bX + CXX etc. constare ex parte, a absolytu
modo y90 continere intelligi potest = + SH+ gHV etc. neque enim opus
nam si assumeretur e posset fieri a + e aequ cuidam literae pro litraque
igtur quantitatem a quia tam in XB0 quam y90 reperitur vocemus. 06, et bxt cxxeke sit 80
et fy +gyy sit 90y Nam cum prior character par ut  in 40 patet 20 continere X tantum, at 40 continebit, y
tantum. Hinc cum ex. g. _y91 sit aequ. _ + gjysiet X. 991 aequ. BI X + Xy. 9C. pole   di y
ita omnia reducemus ad terminus ubi vel  litera) aliqua est sola vel liter formula set literis sobus per rectangulum
ambarum literarum ejusve potentiam multiplicatur ubita ubi tamen nota chauncteremb
oisionem unius per aetemm, sed habere significationem dictam ideo posse esse aequ. 0 licet d neque 61 neque G1. sint aequ. 0-
circa differentias etiam notandum, per eas ulteriorem fieri resolationem. Est enim et equ. aei aequ. daeiu
inergo d dys s d et dus per expliationem supra  factam. Ergo d d81 nihil aliud significat quam
omnes terminos ipsius formulae et mustiplicatos per numermmne suum exponentem unitate anctum
loco 8 Scribamus compendii causa 819 ita in omnibus minus turbabimur ita jam aequ. 4. correctam scribemus hoc mod
ate 90+_xBIX,  xy gyFKSEXXy
+y50 d90
d
a1dgo
+dgrry
X40y91. X + X20y91. y
X2od80 +y5odg0 +x4odgo +XAOXBI.X Ly5OyGLX + y5OXPL. X +y30y91. y + XWOXBI.y +73OX8I
+y50d80
X 21 d 8Xy Hys1 dgory
suidoorus tysidgopus ipiaque
d2n r 22)
aequabimus inter se duos
prius tamen
vateres ex aequ. 1. et ex aequ. 4. ut jacent
Eet:
e xro dBo sy SOdgB LXHOdgO AXAOXBIK + yoygry + YygIX + XHO xSIy H SSo XSL X + yzox BI y
ea
foret aequ. I X. 923)
+2X) Xg2
et ex parte reliqua solam xhabeale bX + CXX erC. ill
3
LX40XXO
s
aequatio 6ta, et erit  d X. yn es seu dn ax + (du) dus erit aequ:  xio dBiry +ysodgiry + xaodgrry
+2X g. y92
d8oty. 991 + xy L 81 F.X ~ yg2+ Xs d 82. + 3Xx y y95 + Xy d83 B
Fy. X81
dy8iaeque d8 18 ubi evanescit 80 quippe constans, abit etiam y quia d semp disserentia semper deprimit ad inferiorea ano queda,
2
Axrorgs
+y50d91. Xy
+y51 dq0. P)
+ X40y90. X
1. XX
e
Xpap
y. sPyF
ftn. xpxes +Xyqxe ypsi
lX. Xpyf +2945
tXC
aequaym
axyt
eodem
t aliam a assumts
dae. Hans
 non significare di-
pota
ex habelnius.
X D al +
Gc d xedm
g ad pygam